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Finding the Third Proportional to 205,896.94 and 312,809.34

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Solution

The third proportional to 205,896.94 and 312,809.34 is: 475,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,896.94 : 312,809.34 = 312,809.34 : x
  2. Step 2: Convert to fraction form
    205,896.94/312,809.34 = 312,809.34/x
  3. Step 3: Cross multiply
    205,896.94x = 312,809.34 × 312,809.34
  4. Step 4: Simplify right side
    205,896.94x = 97,849,685,537.31
  5. Step 5: Solve for x
    x = 97,849,685,537.31/205,896.94
  6. Step 6: Final answer
    x = 475,236.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.